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Finding the Fourth Proportional to 13,522.23, 18,658.83 and 7,553.16

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Solution

The fourth proportional to 13,522.23, 18,658.83 and 7,553.16 is: 10,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.23 : 18,658.83 = 7,553.16 : x
  2. Step 2: Convert to fraction form
    13,522.23/18,658.83 = 7,553.16/x
  3. Step 3: Cross multiply
    13,522.23x = 18,658.83 × 7,553.16
  4. Step 4: Simplify right side
    13,522.23x = 140,933,128.40
  5. Step 5: Solve for x
    x = 140,933,128.40/13,522.23
  6. Step 6: Final answer
    x = 10,422.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.